The position of a particle as a function of time is given by x = (2.0 m/s) t + (-3.0 m/s3)t3.
(a) Plot x versus t for time from t = 0 to t = 1.0 s.
(b) Find the average velocity of the particle from t = 0.35 s to t = 0.45 s.
(c) Find the average velocity from t = 0.39 s to t = 0.41 s.
(d) Do you expect the instantaneous velocity at t = 0.40 s to be closer to 0.54 m/s, 0.56 m/s, or 0.58 m/s? Explain.